Abstract. Westudy cut-elimination in first-orderclassical logic. Weconstructa sequenceofpolynomiallength proofs having a non-elementary number of different cut-free normal forms....
Let κ < λ be regular uncountable cardinals. Using a finite support iteration of ccc posets we obtain the consistency of b = a = κ < s = λ. If µ is a measurable cardinal...
Abstract. We give an affirmative answer to Brendle’s and Hruˇs´ak’s question of whether the club principle together with h > ℵ1 is consistent. We work with a class of ax...
We give limits defined in terms of abstract pointclasses of the amount of determinacy available in certain canonical inner models involving strong cardinals. We show for example: ...